G. Leitmann's integral transformation for global optimal control

DOI10.1016/j.amc.2010.04.016zbMath1200.49020OpenAlexW1980885758MaRDI QIDQ603063

Efim A. Galperin

Publication date: 5 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.016

zbMATH Keywords

optimal controlglobal optimalityequivalence transformations

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Contrasting two transformation-based methods for obtaining absolute extrema
• The Isaacs equation for differential games, totally optimal fields of trajectories and related problems
• On the Leitmann equivalent problem approach
• Translational symmetry of certain integrals with application to the calculus of variations and optimal control
• An extension of the coordinate transformation method for open-loop Nash equilibria
• An observation on two methods of obtaining solutions to variational problems
• Reflections on optimality and dynamic programming
• Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations
• Coordinate transformation method for the extremization of multiple integrals
• A note on absolute extrema of certain integrals
• TWO DIRECT METHODS FOR OBTAINING SOLUTIONS TO VARIATIONAL PROBLEMS
• AN EXTENSION OF LEITMANN'S DIRECT METHOD TO INEQUALITY CONSTRAINTS
• On a class of direct optimization problems
• Coordinate transformations and derivation of open-loop Nash equilibria
• Some extensions to a direct optimization method
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